(続き)
S(t) = - (5/4)t^2 - (35/8)t - (725/96) + (1/96)(41-8t)^{3/2} - (4/3)(1+2t)^{3/2} + (4/3)(√2)(3+t)^{3/2} - (1/48)(1-8t)^{3/2},

S '(t) = 0 を解くと
 t。= - 0.468441224569533013139772174145073057253
のとき最大で
 S(t。) = 4.6995856481086073734128483180743134

 x_1 = -1.42233986
 x_2 = 1.25013723
 b-a = 0.5024642
 d-c = 1.0894413
 S_1 = 0.00265667
 S_2 = 0.0361110
 S_3 = 0.1626490
 S_4 = 0.0989976